Answer:
The center is (-3,2) and the radius is r=2
Step-by-step explanation:
The general equation of the given circle is
![x^2+6x+y^2-4y=-9](https://tex.z-dn.net/?f=x%5E2%2B6x%2By%5E2-4y%3D-9)
Add the square of half the coefficient of the linear terms to both sides of the equation to obtain;
![x^2+6x+3^2+y^2-4y+(-2)^2=-9+3^2+(-2)^2](https://tex.z-dn.net/?f=x%5E2%2B6x%2B3%5E2%2By%5E2-4y%2B%28-2%29%5E2%3D-9%2B3%5E2%2B%28-2%29%5E2)
![x^2+6x+9+y^2-4y+4=-9+9+4](https://tex.z-dn.net/?f=x%5E2%2B6x%2B9%2By%5E2-4y%2B4%3D-9%2B9%2B4)
![x^2+6x+9+y^2-4y+4=4](https://tex.z-dn.net/?f=x%5E2%2B6x%2B9%2By%5E2-4y%2B4%3D4)
The quadratic trinomials in x and y on the left side of the equations are perfect squares.
We factor to obtain;
![(x+3)^2+(y-2)^2=4](https://tex.z-dn.net/?f=%28x%2B3%29%5E2%2B%28y-2%29%5E2%3D4)
![(x--3)^2+(y-2)^2=2^2](https://tex.z-dn.net/?f=%28x--3%29%5E2%2B%28y-2%29%5E2%3D2%5E2)
Comparing to:
![(x-h)^2+(y-k)^2=r^2](https://tex.z-dn.net/?f=%28x-h%29%5E2%2B%28y-k%29%5E2%3Dr%5E2)
The center is (-3,2) and the radius is r=2
Hello James!
Graph using the slope and y - intercept.
Slope:
![\frac{4}{5}](https://tex.z-dn.net/?f=%20%5Cfrac%7B4%7D%7B5%7D%20)
Y-intercept: -3
The graph looks like this ↓↓↓
64 is a perfect square that provides 8 rows , and each contains 8 seats, this is the first perfect square after 50
Answer:
= -14x
Step-by-step explanation:
Since the equation is saying to subtract 10x, we are going to change the minus sign to a addition sign and change positive 10 to negative and continue the rest.
Answer:
5/8
Step-by-step explanation:
Geometric mean is found by multiplying the n number of values and then taking the n-root.
To do this with these numbers, sqrt((9/16)*(25/36)) = (3/4)(5/6) = (1/4)(5/2)= 5/8
I hope this helps! :)